FINITE VOLUME SIMULATION OF THE COMPRESSIBLE ORSZAG? TANG MGD PROBLEM

MAGLIONE, LIVIO; ELASKAR, SERGIO; COSTA, ANDREA; GHIRARDOTTO, MAURICIO

Salta

Congreso; MECOM 2012; 2012

Asociación Argentina de Mecánica Computacional

Computational magnetogasdynamics is an important tool to develop interdisciplinarytechnologies as aerospace design and for astrophysical studies. A model of a flow affected byelectromagnetic forces must include the full set of Maxwell?s equations coupled with the Navier-Stokes equations (full MGD). However, in some phenomena the idea lmagnetogasdynamics equations(ideal MGD) are an accurate description. The ideal MGD equations are simplest than the full MGDequations. The ideal MGD numerical simulations allow the reduction of expensive, and sometimesunviable, experimental parametric studies. However numerical simulations are limited by therequirement of solving accurately the hyperbolic non-linear differential equations. In addition, theideal MGD equations are nonconvex and, as consequence, the wave structure is more complex thanthe Euler gasdynamics equations. In this work are presented results of the compressible, two-dimensional, time-dependent transient Orszag-Tang MGD problem. The results were obtained using amodification of the original finitevolume Harten-Yee TVD scheme, incorporating a new sonic fix forthe acoustic causality points.